416241120 has 192 divisors, whose sum is σ = 1406522880. Its totient is φ = 103200768.

The previous prime is 416241079. The next prime is 416241127. The reversal of 416241120 is 21142614.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416241127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407971 + ... + 408989.

It is an arithmetic number, because the mean of its divisors is an integer number (7325640).

Almost surely, 2^416241120 is an apocalyptic number.

416241120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703261440).

416241120 is an abundant number, since it is smaller than the sum of its proper divisors (990281760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

416241120 is a wasteful number, since it uses less digits than its factorization.

416241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 416241120 is about 20401.9881384144. The cubic root of 416241120 is about 746.6464315661.

Adding to 416241120 its reverse (21142614), we get a palindrome (437383734).

The spelling of 416241120 in words is "four hundred sixteen million, two hundred forty-one thousand, one hundred twenty".